Mark bought 10 baseball tickets for a total of $58.00. Adult tickets cost
$8.00 each and children tickets cost
$2.50 each. How many children
tickets and adult tickets did he buy?

6 adult tickets, 4 children tickets

Step-by-step explanation:

Let a = number of adult tickets.

Let c = number of children tickets.

Equation of numbers of tickets:

a + c = 10

Equation of cost of tickets.

8a + 2.5c = 58

Multiply both sides of the first equation by -8 and add it to the second equation.

        -8a -    8c = -80

(+)      8a + 2.5c = 58

                 -5.5c = -22

c = 4

a + c = 10

a + 4 = 10

a = 6

6 adult tickets, 4 children tickets

6/20

step-by-step explanation: